Excited Baryon Spectroscopy from Lattice QCD: Finite Size Effect

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Excited Baryon Spectroscopy from Lattice QCD: Finite Size Effect
and Hyperfine Mass Splitting
Presenter: Kiyoshi Sasaki
Kiyoshi Sasaki and Shoichi Sasaki
Abstract: A study of the finite-size effect is carried out for spectra of both
ground-state and excited-state baryons in quenched lattice QCD using Wilson
fermions. Our simulations are performed at beta=6.2 with three different spatial
sizes, La 1.6, 2.2 and 3.2 fm. It is found that the physical lattice size larger than
3 fm is required for delta states in all spin-parity (J P = 1/2±, 3/2± ) channels
and also negative-parity nucleon state (J P = 1/2− ) even in the rather heavy
quark mass region. We also find a peculiar behavior of the finite-size effect on
the hyperfine mass splittings between the nucleon and the delta in both parity
channels.
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